Harmonic Oscillators Courses and Certifications

Steve Brunton

Second Order Harmonic Oscillator, Characteristic Equation, Ode45 in MATLAB

Explore second-order harmonic oscillators, characteristic equations, and ode45 in MATLAB through practical examples and hands-on coding for engineering mathematics applications.

• YouTube
• 52 minutes
• On-Demand
• Free Online Course

NPTEL;  IIT Madras

Engineering Chemistry 1

1 review

Learn about Engineering chemistry starting with Introduction to Chemistry & Quantum Chemical Methods and explore Oppenheimer Approximation, etc. in this course.

• YouTube
• 10 hours
• On-Demand
• Free Online Course

NPTEL;  IIT Delhi

Quantum Mechanics and Applications

Explore quantum mechanics fundamentals, including wave-particle duality, Schrödinger equation, and applications in atomic physics. Develop problem-solving skills for quantum systems.

• YouTube
• 1 day 16 hours
• On-Demand
• Free Online Course

NPTEL;  IISc Bangalore

Introductory Quantum Chemistry

Explore quantum chemistry fundamentals, from wave-particle duality to molecular orbitals. Master key concepts, equations, and theories through comprehensive lectures and practical applications.

• YouTube
• 1 day 15 hours
• On-Demand
• Free Online Course

NPTEL;  IIT Bombay

Quantum Chemistry of Atoms and Molecules

The course introduces students to quantum Chemistry. The syllabus is as follows. Black body radiation. Failure of classical mechanics. Marsden experiment and Rutherford theory. Hydrogen atom spectrum. Bohr Sommerfeld theory. etc.

• YouTube
• 1 day 8 hours
• On-Demand
• Free Online Course

IIT Guwahati;  NPTEL

Advanced Quantum Mechanics with Applications

Explore advanced quantum mechanics topics including density matrices, angular momentum, quantum information, dynamics, and transport. Ideal for physics and engineering graduate students.

• Swayam
• 8 weeks
• On-Demand
• Free Online Course

IIT Kanpur;  NPTEL

Classical Motion of a Single Particle

Comprehensive exploration of classical mechanics, covering particle dynamics, conservation laws, oscillations, and advanced topics like Lagrangian mechanics and nonlinear dynamics.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Let's Code Physics

Implementation and Assessment of Computation in Modern Physics Teaching

Explore innovative computational methods for teaching modern physics, focusing on dynamic visualizations and hands-on investigations to enhance student understanding of complex quantum concepts.

• YouTube
• 18 minutes
• On-Demand
• Free Online Course

Kavli Institute for Theoretical Physics

How Uncertainty Clarifies Observables from Amplitudes - Nathan Moynihan

Explores how uncertainty principles in quantum mechanics clarify the relationship between observable quantities and scattering amplitudes, with applications to gravitational wave detection and quantum field theory.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

The Finite Part of Infinity by Joseph Samuel

Explore the paradoxical equation 1+2+3...=-1/12, its mathematical interpretation, and its impact on physics, including the Casimir effect, with insights from differential geometry and topology.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

Quantum Fields, Strings, and Black Holes: A Primer for Non Experts, Part I - Atish Dabholkar

Explore quantum black holes, string theory, and their connections to number theory and geometry. Gain insights into fundamental physics concepts, suitable for mathematicians and physics students.

• YouTube
• 1 hour 58 minutes
• On-Demand
• Free Online Course

Institute for Advanced Study

New Experimental Directions for Fundamental Physics II - Peter Graham

Explore cutting-edge experimental approaches in fundamental physics, focusing on innovative techniques and their potential to advance our understanding of particle physics beyond the LHC.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Online Course

Steve Brunton

Second-Order Ordinary Differential Equations - Solving the Harmonic Oscillator Four Ways

Explore four methods to solve second-order ODEs for harmonic oscillators: guessing, Taylor series, alternative guessing, and matrix systems. Gain practical problem-solving skills in differential equations.

• YouTube
• 37 minutes
• On-Demand
• Free Online Course

Let's Code Physics

Harmonic Oscillator Potential in Quantum Mechanics - Lecture 8

Explore quantum behavior of harmonic oscillators through computer animations. Visualize spring force in the quantum world and learn to build coherent states using VPython.

• YouTube
• 24 minutes
• On-Demand
• Free Online Course

Let's Code Physics

Wave Function Evolver for 2D Harmonic Oscillator - Episode 7

Explore a working wave function evolver for a Gaussian wave in a 2-D harmonic oscillator potential, with debugging and tweaks demonstrated in VPython.

• YouTube
• 18 minutes
• On-Demand
• Free Online Course